Pith Number

pith:PAAMF4UK

pith:2016:PAAMF4UKHY4OCM7LS4ZK6TUBXS

not attested not anchored not stored refs pending

Fractional perimeter from a fractal perspective

Luca Lombardini

arxiv:1603.06088 v1 · 2016-03-19 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAAMF4UKHY4OCM7LS4ZK6TUBXS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:18:51.834629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7800c2f28a3e38e133eb9732af4e81bcadeb16a85159b2b754d86c801030197e

Aliases

arxiv: 1603.06088 · arxiv_version: 1603.06088v1 · doi: 10.48550/arxiv.1603.06088 · pith_short_12: PAAMF4UKHY4O · pith_short_16: PAAMF4UKHY4OCM7L · pith_short_8: PAAMF4UK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PAAMF4UKHY4OCM7LS4ZK6TUBXS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7800c2f28a3e38e133eb9732af4e81bcadeb16a85159b2b754d86c801030197e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f7d4abeb10d944667a7af72190ba716e2ce6161b80b8a27e16d18081dbfe3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-19T12:26:21Z",
    "title_canon_sha256": "e83cb2684aab4a4327a3bf98ae42842f65b6d27a444a286deb924456bab9aac4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06088",
    "kind": "arxiv",
    "version": 1
  }
}